Blog

Technical blog posts on machine learning, computational science, and mathematical methods by Simon Ghyselincks

Isotropic Remeshing with Boundary and Feature Preservation

Uniform explicit isotropic remeshing for 3D triangle meshes

Implementation of uniform explicit isotropic remeshing following Botsch and Kobbelt (2004), with feature and boundary preservation. Developed for UBC CPSC 524 using C++ and Eigen.

Trace Estimation for Implicit Matrices

A Hutchinson’s and Hutch++ Survey

Implicit matrix trace estimation using only matrix-vector products is a problem that commonly arises in many areas of scientific computing and machine learning. This work explores randomized algorithms including Hutchinson’s and Hutch++.

Dimensionality Reduction with the Johnson-Lindenstrauss Lemma

A randomized approach to preserving distances in high-dimensional data

Randomized algorithms provide an alternative approach to improving computational efficiency in high-dimensional data processing where full accuracy can be traded for speed.

Score Matching for Density Estimation

Estimation of the probability density function using score matching

Score matching is a method for indirectly estimating the probability density function of a distribution. In this post, I will explain the score matching method as well as some of its limitations.

Welcome

A first post using Quarto

Find out more about the tools I’m using to create this blog.